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• W3017364299 endingPage "163933" @default.
• W3017364299 startingPage "163933" @default.
• W3017364299 abstract "General solutions are derived for least-squares fits of amplitude, phase shift and baseline shift of sinusoidal modulations to normally distributed time series. Four cases are compared: weighted and unweighted fit, with and without a baseline shift. Computer simulations have been performed of the statistical distribution of the amplitude resulting from fits to white noise. A normalised amplitude is defined which follows exactly a Rayleigh distribution, even for small, uneven-sampled data sets. Equations are provided for the width of the distribution and the cumulative probability function. A simple criterion for the statistical significance of the amplitude fitted to a time series is derived and compared for equivalence with the Lomb–Scargle criterion based on a power function." @default.
• W3017364299 created "2020-04-24" @default.
• W3017364299 creator A5017402938 @default.
• W3017364299 date "2020-07-01" @default.
• W3017364299 modified "2023-09-27" @default.
• W3017364299 title "Comparing significance criteria for cyclic modulations in time series" @default.
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• W3017364299 doi "https://doi.org/10.1016/j.nima.2020.163933" @default.
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